Results 81 to 90 of about 3,442,984 (210)

On characterizations of a some classes of Schauder frames in Banach spaces [PDF]

, 2023
In this paper, we prove the following results. There exists a Banach space without basis which has a Schauder frame. There exists an universal Banach space $B$ (resp. $\tilde{B}$) with a basis (resp.
Karkri, Rafik, Kabbaj, Samir, Lafdal, Hamad Sidi   +2 more
core   +1 more source

Differential Methods for HU Stability of Backward Shift Operators via Weight Sequences

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces a new concept of jth weighted backward shift operators on weighted Hardy spaces Hμ2. We introduce the operator Ωγj and characterize its boundedness in certain sequences associated with the weights. After that, we establish HU stability of the jth weighted backward shift operator Υenj and provide conditions under which stability ...
Zohreh Kefayati, Mohammad Taghi Heydari, Nawab Hussain, Hamed Alsulmi, Tareq Al-shami   +4 more
wiley   +1 more source

Eksistensi basis schauder di ruang banach [PDF]

ABSTRAK Penelitian ini mengkaji eksistensi Basis Schauder di Ruang Banach. Basis Schauder adalah barisan {x_n }_(n=1)^∞ di Ruang Banach disebut Basis Schauder jika untuk setiap x∈X terdapat barisan dari skalar {a_n }_(n=1)^∞ sedemikian sehingga x ...
Nurfadilah, Yunita
core  

Characterization of Schauder basis property of Gabor systems in local fields

, 2021
Let K be a totally disconnected, locally compact and nondiscrete field of positive characteristic and D be its ring of integers. We characterize the Schauder basis property of the Gabor systems in K in terms of A2 weights on D × D and the Zak transform ...
Molla Md. Nurul, Behera Biswaranjan
core  

Closed subspaces without Schauder bases in non-archimedean Frechet spaces [PDF]

, 2001
Let E be an infinite-dimensional non-archimedean Frechet space which is not isomorphic to any of the following spaces: $c_0,c_0 x K^N,K^N$. It is proved that E contains a closed subspace without a Schauder basis (even without a strongly finite ...
Śliwa, Wiesław
core   +1 more source

Generalized concept of $J$-basis [PDF]

Sahand Communications in Mathematical Analysis, 2015
A generalization of Schauder basis associated with the concept of generalized analytic functions is introduced. Corresponding concepts of density, completeness, biorthogonality and basicity are defined.
Tofig Najafov
doaj  

Milloux Inequality of E-Valued Meromorphic Function

The Scientific World Journal, 2014
The main purpose of this paper is to establish the Milloux inequality of E-valued meromorphic function from the complex plane ℂ to an infinite dimensional complex Banach space E with a Schauder basis.
Zhaojun Wu, Zuxing Xuan
doaj   +1 more source

Boundedness of Lebesgue Constants and Interpolating Faber Bases

Наукові вісті Національного технічного університету України "Київський політехнічний інститут", 2017
Background. We investigate the relationship between the boundedness of Lebesgue constants for the Lagrange polynomial interpolation on a compact subset of \[\mathbb R\] and the existence of a Faber basis in the space of continuous functions on this ...
Viktoriia V. Bilet, Oleksiy A. Dovgoshey, Jürgen Prestin   +2 more
doaj   +1 more source

On Some New Sequence Spaces and Their Duals

Journal of Mathematics
In this study, we defined some new sequence spaces using regular Tribonacci matrix. We examined some properties of these spaces such as completeness, Schauder basis. We have identified α−,β−, and γ−duals of the newly created spaces.
Damla Barlak
doaj   +1 more source

Almost Sequence Spaces Derived by the Domain of the Matrix

Abstract and Applied Analysis, 2013
By using , we introduce the sequence spaces , , and of normed space and -space and prove that , and are linearly isomorphic to the sequence spaces , , and , respectively.
Ali Karaisa, Ümıt Karabıyık
doaj   +1 more source